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In this text, we prove then that any minimal effective dynamical system on aCantor set $\mathcal{A}^{\mathbb{N}}$ can be simulated by a minimal$\mathbb{Z}^3$-SFT, in a sense that we explicit here. This notion is ageneralization of simulation by factor and sub-action defined by Hochman.

Simulation of minimal effective dynamical systems on the Cantor sets by minimal tridimensional subshifts of finite type